Tuesday
May 21, 2013

# Homework Help: Math: Calculus

calculus (gr 12)
Determine the velocity and acceleration as functions of time, t, for s(t) = 45t − 5t^2, where s(t) represents the distance as a function of time. (Hint: velocity and acceleration correspond to the first and second derivatives of the distance)
Tuesday, April 16, 2013 at 12:16pm

Determine the absolute extrema of each function on the given interval. Illustrate your results by sketching the graph of each function. a) f(x) = x^2 − 4x + 3 , 0 ≤ x ≤ 3 b) f(x) = (x − 1)^2&#...
Tuesday, April 16, 2013 at 12:15pm

calculus (gr 12)
The forward motion of a space shuttle, t seconds after touchdown, is described by s(t) = 189t − t^3 , where " is measured in metres. a) What is the velocity of the shuttle at touchdown? b) How much time is required for the shuttle to stop completely? c) How ...
Tuesday, April 16, 2013 at 12:15pm

Calculus
A popular search engine is targeting European countries where the number of online households is expected to grow at a steady rate. Data was taken over time, and it was found that the number of online houses (in millions) projected can be modeled by the following function: N(t...
Tuesday, April 16, 2013 at 10:12am

Calculus
Light is absorbed when it passes through a glass window. If r% of light is absorbed by a glass with thickness w , then the percent of light that is absorbed by a piece of glass with a thickness nw of for any natural number n is modeled by the following function: A(n) = 100 [1...
Tuesday, April 16, 2013 at 10:06am

Calculus
Convert the polar equation to rectangular coordinates: r = 2-cos theta ...and find all points of vertical and horizontal tangency.
Tuesday, April 16, 2013 at 6:02am

Math/ Calculus
Given an initial guess of x1 = 1, use the Newton-Raphson Method to fi nd the second approximation x = x2 of the solution of the equation: sqrt(x+3)=x
Tuesday, April 16, 2013 at 1:30am

Calculus
1) Find the linearization of f(x) = sin(x) at x = 0 AND use it to estimate sin(pi/87.129)
Tuesday, April 16, 2013 at 1:23am

Calculus
Find two positive numbers whose sum is 8 such hat when the cube of th first number is multiplied by the second number, the result is maximum.
Tuesday, April 16, 2013 at 1:18am

Math/ Calculus Help1
Supplies are dropped from a stationary (not moving up or down) helicopter and, after some amount of time, land on the ground with a velocity of -160 feet per second. Assumptions: Start time at t = 0 and ignore air resistance. Recall that the height function is given by y(t)= ...
Tuesday, April 16, 2013 at 1:17am

Calculus
Convert the curve to an equation in rectangular coordinates: x=sin theta + 1 y=2cos theta - 1
Tuesday, April 16, 2013 at 12:14am

Calculus
Light is absorbed when it passes through a glass window. If r% of light is absorbed by a glass with thickness w , then the percent of light that is absorbed by a piece of glass with a thickness nw of for any natural number n is modeled by the following function: A(n) = 100 [1...
Monday, April 15, 2013 at 11:28pm

Calculus
Convert the curve to an equation in rectangular coordinates: x=(t+2); y=-2sqrt(t)
Monday, April 15, 2013 at 8:32pm

Calculus 1A
I am so confused! The problem is: Verify the given linear approximation at a=0. Then determine the values of x for which the linear approximation in accurate to within 0.1. LN(1+x) ≈ x I found f(0) = 0 and f'(0) = 1 I have an equation: LN (1+x) -(.1) < x < LN(1...
Monday, April 15, 2013 at 7:24pm

calculus
Determine the maximum and minimum of each function on the given interval. a)  = 2x^3 − 9x^2 ,−2 ≤ x ≤ 4 b)  = 12x − x^3 ,  x∈ [−3,5]
Monday, April 15, 2013 at 7:06pm

State the absolute maximum value and the absolute minimum value of each function, if the function is defined on the interval shown. {I CANNOT POST THE GRAPH SO CAN SOMEONE EMAll ME AT miss.a.parker at hot mail(. com) SO I CAN EMAIL IT TO THEM SO YOU CAN HELP ME? I WOULD LOVE ...
Monday, April 15, 2013 at 7:05pm

Evaluate each of the following. Show all your calculations. a) f'(3) if f(x)  = x^4 − 3x b) f' (−2) if f(x) = 2x^3 + 4x^2 − 5x + 8 c) f" (&#...
Monday, April 15, 2013 at 7:00pm

Determine the maximum and minimum of each function on the given interval. a)  = 2x^3 − 9x^2 ,−2 ≤ x ≤ 4 b)  = 12x − x^3 ,  x∈ [−3,5]
Monday, April 15, 2013 at 6:47pm

Determine the velocity and acceleration as functions of time, t, for s(t) = 45t − 5t^2, where s(t) represents the distance as a function of time. (Hint: velocity and acceleration correspond to the first and second derivatives of the distance)
Monday, April 15, 2013 at 6:44pm

Determine the absolute extrema of each function on the given interval. Illustrate your results by sketching the graph of each function. a) f(x) = x^2 − 4x + 3 , 0 ≤ x ≤ 3 b) f(x) = (x − 1)^2&#...
Monday, April 15, 2013 at 6:42pm

Determine the absolute extrema of each function on the given interval. Illustrate your results by sketching the graph of each function. a)  =  − 4 + 3 , 0 ≤  ≤ 3 b)  =  − 1 , 0 ≤ &#...
Monday, April 15, 2013 at 6:40pm

6. The forward motion of a space shuttle, t seconds after touchdown, is described by s(t) = 189t − t^3 , where " is measured in metres. a) What is the velocity of the shuttle at touchdown? b) How much time is required for the shuttle to stop completely? c) ...
Monday, April 15, 2013 at 6:38pm

calculus
A water trough is 8 cm wie at the top, 50 cm wie at the bottom and 40 cm deep and 3 m long. Water is poured in at 1500cm ^3/s how fast is the water level rising when itis 20 cm deep?
Monday, April 15, 2013 at 4:35pm

CALCULUS
A cat walking down the street at a speed of 1 1m/s passes 2 m from a post on which there is a lamp 6 m above the ground. How fast is the distance between the cat and the lamp increasing 3 s later?
Monday, April 15, 2013 at 4:34pm

calculus
A man 2m tall walks away from a lamppot at 1m/s. If te lampatop the post is 5m above the ground, how fast is te tip of is sadow moving? How fast is the length of his shadow changing?
Monday, April 15, 2013 at 4:31pm

Calculus
The Ehrenberg equation gives the relationship between the weight W (in kilograms) and the height h (in meters) of a child between the ages of 5 and 13 years old. a. Research to find the Ehrenberg equation. b. Find the relationship of a child of the height that you choose. If ...
Monday, April 15, 2013 at 1:26pm

calculus
Suppose that x=x(t) and y=y(t) are both functions of t. If x^2+y^2=26 and dx/dt=−2 when x=1 and y=5, what is dy/dt? help??????
Monday, April 15, 2013 at 7:02am

calculus
Find the center (h,k) and radius r of the circle with the given equation. 4(x+4)^2 + 4(y-6)^2 = 324
Monday, April 15, 2013 at 2:02am

calculus
3). The shaded region is bounded by the y-axis and the graphs of y=1+√x, y=2. Find the volume of the solid obtained by rotating this region around the x-axis. Answer choices: 7/6pi, 4/3pi, 11/6pi, 5/3pi, 13/6pi, 5/6pi 4). Find the area of the region bounded by y=x^2-6x+7...
Sunday, April 14, 2013 at 9:21pm

calculus
5). Find the volume of the solid of revolution generated by rotating the graph of y=8 lnx about the y-axis between y=0 and y=16 Answer choices: 238.39pi, 246.39pi, 230.39pi, 214.39pi, 222.39pi 7). Find the area of the region bounded by y=√x-2, y=9, y=0, x=0
Sunday, April 14, 2013 at 9:21pm

calculus
10). Find the area of the region bounded by the graph of f(x)=4lnx/x, y=0, x=5.8 11). Find the area of the region bounded by x=y^2-1y, x=0
Sunday, April 14, 2013 at 9:20pm

calculus
8). Part 1 of 2: In the solid the base is a circle x^2+y^2=16 and the cross-section perpendicular to the y-axis is a square. Set up a definite integral expressing the volume of the solid. Answer choices: integral from -4 to 4 of 4(16-y^2)dy, integral from -4 to 4 of (16+y^2)dy...
Sunday, April 14, 2013 at 9:19pm

pre calculus
Simplify and write the trigonometric expression in terms of sine and cosine: ((2+tan^2 x)/(sec^2 x))-1 = (f(x))^2 f(x)= ??
Sunday, April 14, 2013 at 7:35pm

Find all solutions of the equation tan^5 x - 9tan x =0. The answer is Ak\pi where k is any integer, the constant A=???
Sunday, April 14, 2013 at 7:33pm

calculus
Find the length of the curve over the given interval: x=t+1 y=ln cos(t) for t=0 ---> t=pi/4
Sunday, April 14, 2013 at 7:03pm

pre calculus
Simplify and write the trigonometric expression in terms of sine and cosine: sin x + (cot x cos x) = 1/(f(x) f(x)= ???
Sunday, April 14, 2013 at 6:31pm

Calculus
A balloon leaves the ground 500 feet away from an observer and rises vertically at the rate of 140 feet per minute. At what rate is the angle of inclination of the observer's line of sight increasing at the instant when the balloon is exactly 500 feet above the ground? ...
Sunday, April 14, 2013 at 6:03pm

Applied Calculus
The world population at the beginning of 1990 was 5.3 billion. Assume that the population continues to grow at the rate of approximately 2%/year and find the function Q(t) that expresses the world population (in billions) as a function of time t (in years), with t = 0 ...
Sunday, April 14, 2013 at 5:36pm

Maths calculus
Evaluate f'(1) if f(x) =(7x+1)^2
Sunday, April 14, 2013 at 12:22pm

calculus
Find the length of the curve over the given interval: x=t+1 y=ln cos(t) for t=0 ---> t=pi/4
Sunday, April 14, 2013 at 9:42am

Calculus
Find the derivative of y = (e^x-e^-x)/2
Sunday, April 14, 2013 at 1:55am

Calculus
The present value of a building in the downtown area is given by the function p(t) = 300,000e^-0.09t+(t)/2 f or 0 _< t _< 10 Find the optimal present value of the building. (Hint: Use a graphing utility to graph the function, P(t), and find the value of t0 that gives a ...
Sunday, April 14, 2013 at 1:33am

Calculus
Convert to a rectangular equation by eliminating the parameter: x=sin(theta) y=(cos theta)^2
Saturday, April 13, 2013 at 10:46pm

Calculus
If the volume of a spherical ballon is increasing at 4 pi m^3/ min when its radius is 2m, how fast is its surface are increasing at the same time
Saturday, April 13, 2013 at 12:13pm

CALCULUS
Sand is being poured from a converyer belt forming a conical pile whose base diameter is eual to its height at all times. If the base diameter is inreasing at 2 m/min when the base is 2 m wide. How fast is the sand being poured onto the pile?
Saturday, April 13, 2013 at 12:11pm

CALCULUS
A pile of sand in the shape of a cone whose base diameter is 4 times its height is being built up at 12 pi m3/min. How fast is the height of the pile increasing 3 min after the pouring begins.
Saturday, April 13, 2013 at 12:09pm

calculus
find the derivative of the following: 3x^2 ln(2x) e^2x ln√x+3 please try and show few steps and laws of logarithmics.
Saturday, April 13, 2013 at 12:39am

Calculus
The present value of a building in the downtown area is given by the function p(t) = 300,000e^-0.09t+(t)/2 f or 0 _< t _< 10 Find the optimal present value of the building. (Hint: Use a graphing utility to graph the function, P(t), and find the value of t0 that gives a ...
Friday, April 12, 2013 at 11:18pm

Calculus
The present value of a building in the downtown area is given by the function p(t) = 300,000e^-0.09t+(t)/2 f or 0 _< t _< 10 Find the optimal present value of the building. (Hint: Use a graphing utility to graph the function, P(t), and find the value of t0 that gives a ...
Friday, April 12, 2013 at 11:18pm

Calculus
Find the derivative for the following: a. y = x^2 e^x b. y = (e^x + 2)^3/2 c. y = e^-3x d. y = (e^x-e^-x)/2
Friday, April 12, 2013 at 6:47pm

Calculus
The unit selling price p (in dollars) and the quantity demanded x (in pairs) of a certain brand of women’s shoes are given by the demand equation P(x) = 100e^-0.001x f or 0 _< x _< 20,000. a. Find the revenue function, R. (Hint: R(x) = x(p(x)), since the revenue ...
Friday, April 12, 2013 at 6:37pm

Calculus
The unit selling price p (in dollars) and the quantity demanded x (in pairs) of a certain brand of women’s shoes are given by the demand equation P(x) = 100e^-0.001x f or 0 _< x _< 20,000. a. Find the revenue function, R. (Hint: R(x) = x(p(x)), since the revenue ...
Friday, April 12, 2013 at 6:37pm

Calculus
Find the equation of the line tangent to F(x) = xe^-x at the point where x = 0. What does this tell you about the behavior of the graph when x = 0?
Friday, April 12, 2013 at 6:28pm

Calculus
The present value of a building in the downtown area is given by the function p(t) = 300,000e^-0.09t+ãt/2 f or 0 _< t _< 10 Find the optimal present value of the building. (Hint: Use a graphing utility to graph the function, P(t), and find the value of t0 ...
Friday, April 12, 2013 at 6:23pm

Find the coordinates of the center of the ellipse represented by 4x^2 + 9y^2 – 18y – 27 = 0. For 2x^2 + xy + 2y^2 = 1, find , the angle of rotation about the origin, to the nearest degree. Find the distance between points at (–1, 6) and (5, –2). Identify ...
Friday, April 12, 2013 at 4:46pm

Find the coordinates of the center of the ellipse represented by 4x^2 + 9y^2 – 18y – 27 = 0. For 2x^2 + xy + 2y^2 = 1, find , the angle of rotation about the origin, to the nearest degree. Find the distance between points at (–1, 6) and (5, –2). Identify ...
Friday, April 12, 2013 at 4:45pm

Calculus
Use 5 right rectangles to estimate the area of the area under the graph of 25−x 2 from x = 0 to x = 5 using 5 left rectangles?
Friday, April 12, 2013 at 4:21pm

Calculus
Estimate the area under the graph of 25−x 2 from x = 0 to x = 5 using 5 left rectangles?
Friday, April 12, 2013 at 4:20pm

Calculus
An animal population is increasing at a rate of 150+20t animals per year. By how much does the animal population increase between year 5 and year 8?
Friday, April 12, 2013 at 3:37pm

Applied Calculus
Find the absolute extrema of the function on the interval [2,3]. (Round your answers to the nearest hundredth.) Absolute Minimum ___ at x=___ Absolute Maximum ___ at x=___
Friday, April 12, 2013 at 2:47pm

Calculus
Use the Evaluation Theorem to find the exact value of the integral ç^6 2 2x+1dx 1) What is the antiderivative? 2)What is theupper and lower limit? 3) Give final answer.
Friday, April 12, 2013 at 2:23pm

Calculus
Estimate the area under the graph of 25−x 2 from x = 0 to x = 5 using 5 left rectangles. b. Sketch for yourself the graph of f and the rectangles. Is this left sum an overestimate or underestimate? Enter OVER or UNDER. c. Now use 5 right rectangles to estimate the area. ...
Friday, April 12, 2013 at 1:46pm

Calculus
The velocity of an object t seconds after it started moving is t(t-6). Find the total change in the object's position in the 6th second.
Friday, April 12, 2013 at 10:52am

Calculus
Find the volume using the shell method - about the x-axis x=y^2/3
Friday, April 12, 2013 at 10:39am

calculus
Find the volume of the solid generated by revolving the region about the given line. The region in the second quadrant bounded above by the curve y = 16 - x2, below by the x-axis, and on the right by the y-axis, about the line x = 1 I have gathered, that washer method is to be...
Friday, April 12, 2013 at 10:33am

Calculus
The velocity of an object t seconds after it started moving is 6). Find the total change in the object's position in the 6th second.
Thursday, April 11, 2013 at 11:35pm

Pre Calculus
Having trouble verifying this identity... cscxtanx + secx= 2cosx This is what I've been trying (1/sinx)(sinx/cosx) + secx = 2cosx (1/cosx)+(1/cosx) = 2 cosx 2 secx = 2cosx that's what i ended up with, but i know it's now right. did i mess up with the algebra?
Thursday, April 11, 2013 at 9:17pm

Pre Calculus
I keep trying to solve this by factring but I can't seem to get! It's so frustrating! The problem is 1+tan2x=0 This is how I worked the problem before: 1+((2tanx)/(1-tan^2x))=0 ((2tanx)/(1-tan^2x))= -1 Then I cross multiplied to get: -1 + tan^2x = 2 tanx Than I ...
Thursday, April 11, 2013 at 9:13pm

Calculus
An animal population is increasing at a rate of 150+20t animals per year. By how much does the animal population increase between year 5 and year 8?
Thursday, April 11, 2013 at 2:10pm

Calculus
An animal population is increasing at a rate of 150+20t animals per year. By how much does the animal population increase between year 5 and year 8?
Thursday, April 11, 2013 at 2:10pm

Calculus
Below is a table containing information about differentiable functions f and g: x: -2 -1 0 1 2 f(x): 4 3 5 2 1 f'(x):1 4 2 5 3 g(x): 5 2 1 3 4 g'(x):3 5 4 1 2 F(x) + g(x), G(x)=f(x) * g(x), H(x) = g(x)/f(x) Find F'(-1) Find G'(0) Find H'(-2)
Thursday, April 11, 2013 at 2:09pm

Calculus
The speed of a runner increased steadily during the first three seconds of a race. Her speed at half-second intervals is given in the table below. Find lower and upper estimates of the distance she covered during the first three seconds of the race. Use left- and right- ...
Thursday, April 11, 2013 at 2:03pm

Calculus
The present value of a building in the downtown area is given by the function P(t) = 300,000e^-0.09t+¡Ìt/2 f or 0 ¡Ü t ¡Ü 10 Find the optimal present value of the building. (Hint: Use a graphing utility to graph the function, P(t), and find ...
Thursday, April 11, 2013 at 1:17pm

Calculus
The present value of a building in the downtown area is given by the function P(t) = 300,000e^-0.09t+¡Ìt/2 f or 0 ¡Ü t ¡Ü 10 Find the optimal present value of the building. (Hint: Use a graphing utility to graph the function, P(t), and find ...
Thursday, April 11, 2013 at 1:14pm

Calculus
The unit selling price p (in dollars) and the quantity demanded x (in pairs) of a certain brand of women’s shoes are given by the demand equation p(x) = 100e^-0.0001x f or 0 _< x _< 20,000 a. Find the revenue function,R. (Hint: R(x)= x(p(x)), since the revenue ...
Thursday, April 11, 2013 at 1:03pm

Calculus
Find the linear approximation of the function f(x)=^3sqrt(1+3x) at a=0 and use it to approximate ^3sqrt(1.03)Is this an overestimate or underestimate of the actual value? Explain your answer in terms of the tangent line and the curve.
Thursday, April 11, 2013 at 12:34pm

Calculus
A man starts walking north at 4 ft/sec from point P. Five minutes later a woman starts walking south at 5 ft/sec from a point 500 ft due east of P. At what rate ae the people moving apart 15 minutes after the woman starts walking? Draw a diagram. 1) What rate is given? State ...
Thursday, April 11, 2013 at 12:10pm

Calculus
An object at rest begins moving horizontally on the x-axis, starting at position x(t) = 0 feet at time t = 0 seconds.Suppose, after exactly 2 seconds we measure the position of the object to be 3 feet to the right of the origin AND measure the object to be moving to the ...
Thursday, April 11, 2013 at 3:00am

Calculus
Marty wants to make a replacement part for a aeration machine that he is working on. He decides to take a rectangular sheet of metal with perimeter of 46cm and dimensions x cm nd y cm and roll it into a right circular cylinder as shown below. What values of x and y will give ...
Thursday, April 11, 2013 at 2:51am

Calculus
Bruce has commissioned the construction of an open-top rectangular tank to be fashioned from a 3m by 5m sheet of steel. Squares will be cut from each corner and sides will be bent upward to form the tank to be used for live bait storage. Find the dimensions of the squares that...
Thursday, April 11, 2013 at 2:46am

Calculus
A friend of mine was selling the lumber from his old barn to be repurposed. Knowing that I liked old wood, he set aside a board totaling 12 feet in length for me. I want to cut it to form a rectangular frame for a mirror. What should the dimensions be to provide the largest area?
Thursday, April 11, 2013 at 2:38am

calculus
find the solution: (y^(2) dx)/(1-x)=dy
Thursday, April 11, 2013 at 12:36am

calculus
find the solution: e^y=1/(y^'+1)
Thursday, April 11, 2013 at 12:35am

calculus
Find the specified coordinates of the centroid of the area bounded by a) x=3 and 2x=y^2 find the coordinates x and y of the centroid b) y= x^3 and y=4x in the first quadrant. Find the x coordinate of the centroid
Thursday, April 11, 2013 at 12:33am

calculus
Find the coordinates of the centroid of the following volume of revolution formed by rotating the area bounded by y^2-4=-x^2, x=0,x=1, And the "x" axis about the "x" axis.
Thursday, April 11, 2013 at 12:33am

calculus
Find the particular solution of the following differential equation by using the given boundary conditions. y(1+x)=x(y+1)(dy/dx) when y=1 x=1
Thursday, April 11, 2013 at 12:32am

calculus
Find the centroid of 4 particles of equal mass located at (0,0), (4,2), (3,-5), and (-2,-3)
Thursday, April 11, 2013 at 12:28am

Calculus
The management of the Titan Tire Company has determined that the quantity demanded x of their Super Titan tires/week is related to the unit price p by the relation P=132-x^2 where p is measured in dollars and x is measured in units of a thousand. Titan will make x units of the...
Wednesday, April 10, 2013 at 11:10pm

calculus
The demand function for a certain make of replacement cartridges for a water purifier is given by the following equation where p is the unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. p=-0.01x^2-0.3x+19 Determine the consumers&#...
Wednesday, April 10, 2013 at 10:59pm

Calculus
The unit selling price p (in dollars) and the quantity demanded x (in pairs) of a certain brand of women’s shoes are given by the demand equation p(x) = 100e^-0.0001x f or 0 _< x _< 20,000 a. Find the revenue function,R. (Hint: R(x)= x(p(x)), since the revenue ...
Wednesday, April 10, 2013 at 10:36pm

Calculus
Find the second derivative of the function f(x)= t^2e^(-2t)
Wednesday, April 10, 2013 at 8:44pm

Calculus
Write the expression as the logarithm of a single quantity. ln 2 + 1/2 ln(x +1)-2 ln(1+ x^(1/2))
Wednesday, April 10, 2013 at 8:43pm

pre calculus
Given the following polynomial; f(x)=(x-2)^3 Find: a. the zeros and the multiplicity of each b. where the graph crosses or touches the x-axis c. number of turning points d. end behavior I have no clue what I am doing. pleeeaaase help!!!
Wednesday, April 10, 2013 at 3:41pm

A farmer wishes to build a fence for 6 adjacent rectangular pens. If there is 600 feet of fencing available, what are the dimensions of each pen that maximizes total pen area? The image looks like this: box box box box box box also: If the interior fencing is $3.00 per foot ... Wednesday, April 10, 2013 at 2:28pm Calculus Word Problem A farmer wishes to build a fence for 6 adjacent rectangular pens. If there is 600 feet of fencing available, what are the dimensions of each pen that maximizes total pen area? The image looks like this: box box box box box box also: If the interior fencing is$3.00 per foot ...
Wednesday, April 10, 2013 at 1:40pm

Calculus 2
A farmer wishes to build a fence for 6 adjacent rectangular pens. If there is 600 feet of fencing available, what are the dimensions of each pen that maximizes total pen area? I keep getting x=150 but I have been told that is not enough fencing. Can anyone help?
Wednesday, April 10, 2013 at 1:12pm

Calculus
find g''(x) if g(x) = xe^x I have g' as e^x(x+1) then g'' as e^x(1) or just e^x am I missing the mark?
Wednesday, April 10, 2013 at 1:10pm

Pre-Calculus
I'm having trouble understanding how to do complex fractions.. My book doesn't explain it very well.. 12. (x+3/12)/(4x-5/15) 14. (2/x^2 + 1/x)/(4/x^2 - 1/x) 16. (1/y + 3/y^2)/(y + 27/y^2) If you could please explain how to begin the process I would appreciate it.
Wednesday, April 10, 2013 at 12:19am

Calculus,math
Constuct a rectangular box with a square base that holds a given volume V0 cm^3.? The cost of the material for the sides is 1 cent per cm^2, while the top and bottom costs 3 cents per cm^2. Find, in terms of V0, the dimensions of the box that will minimize the cost of the ...
Tuesday, April 9, 2013 at 10:01pm

applied calculus
3. a) Write out the limit definition for the derivative of y = xx. Attempt to solve it. b) Write out the limit definition for the derivative of the inverse trig function from question 2. Attempt to solve it. c) Discuss the value of implicit differentiation. (Use questions 1 ...
Tuesday, April 9, 2013 at 9:26pm

applied calculus
Let y=〖tan〗^(-1) x Rewrite it as an equation involving a trig function. Use implicit differentiation to determine an expression for y.
Tuesday, April 9, 2013 at 9:25pm

applied calculus
1. Consider the function y = xx (for x> 0). a) Why does the derivative rule for xn not apply? b) Why does the derivative rule for ax not apply? c) What are the four magic properties of logarithms? d) Take the ln of both sides. Use the properties of logarithms and implicit ...
Tuesday, April 9, 2013 at 9:22pm

Calculus
Find the equation of the line tangent to f(x) = xe^-x at the point where x = 0. What does this tell you about the behavior of the graph when x = 0?
Tuesday, April 9, 2013 at 5:12pm

Calculus
The unit selling price p (in dollars) and the quantity demanded x (in pairs) of a certain brand of women’s shoes are given by the demand equation p(x) = 100e^-0.0001x f or 0 _< x _< 20,000 a. Find the revenue function,R. (Hint: R(x)= x(p(x)), since the revenue ...
Tuesday, April 9, 2013 at 5:07pm

Calculus
1. In a certain country, the percentage of the population relocating to a new town is given by the following function: p(t) = 20.6e^-0,009t,where 0 _< t _< 52. Time is zero (t = 0) corresponds to the year 1960. 1. Find the rate at which people relocated during the year ...
Tuesday, April 9, 2013 at 3:44pm

Calculus
1. In a certain country, the percentage of the population relocating to a new town is given by the following function: p(t) = 20.6e^-0,009t,where 0 ¡Ü t ¡Ü 52. Time is zero (t = 0) corresponds to the year 1960. 1. Find the rate at which people relocated ...
Tuesday, April 9, 2013 at 2:27pm

Calculus
1. In a certain country, the percentage of the population relocating to a new town is given by the following function: p(t) = 20.6e^-0,009t,where 0 ¡Ü t ¡Ü 52. Time is zero (t = 0) corresponds to the year 1960. 1. Find the rate at which people relocated ...
Tuesday, April 9, 2013 at 2:27pm

the total cost of producing x units of toys is C(x)=110-4x+〖.02x〗^2. a.find the marginal cost b. if 50 toys are manufactured, what is the rate of change of the total cost? c.what is the amount in peso of the actual cost of manufacturing the 51st toy?
Tuesday, April 9, 2013 at 2:45am

Calculus
Determine whether the planes are parallel or orthogonal. Equations given: 5x - 3y + z = 4 x + 4y + 7z = 1 How exactly do I solve this? It wasn't covered completely in class.
Monday, April 8, 2013 at 10:47pm

Calculus
Implicit Differentiation. (x-3)^2+(y+2)^2=25
Monday, April 8, 2013 at 8:14pm

Three Dimensions/Calculus
Find the general form of the equation of the plane passing through the point and perpendicular to the specified vector or line. P= (2,1,2) which is perpendicular to n=i
Monday, April 8, 2013 at 7:47pm

Analytic Geometry/Calculus
We didn't go over the perpendicular form in class, only the parallel. Find the general form of the equation of the plane passing through the point and perpendicular to the specified vector or line.
Monday, April 8, 2013 at 7:40pm

Calculus
1. In a certain country, the percentage of the population relocating to a new town is given by the following function: p(t) = 20.6e^-0,009t,where 0 _< t _< 52. Time is zero (t = 0) corresponds to the year 1960. 1. Find the rate at which people relocated during the year ...
Monday, April 8, 2013 at 6:37pm

Calculus
1. In a certain country, the percentage of the population relocating to a new town is given by the following function: p(t) = 20.6e^-0,009t,where 0 _< t _< 52. Time is zero (t = 0) corresponds to the year 1960. 1. Find the rate at which people relocated during the year ...
Monday, April 8, 2013 at 12:14pm

Big MATH Help needed
An object at rest begins moving horizontally on the x-axis, starting at position x(t) = 0 feet at time t = 0 seconds.Suppose, after exactly 2 seconds we measure the position of the object to be 3 feet to the right of the origin AND measure the object to be moving to the ...
Monday, April 8, 2013 at 1:25am

calculus
if a ball is thrown vertically upward with an initial velocity of 48 ft/s, then its height, s, after t seconds is given by s(t)= 48t-16t^2. a) what is the velocity of the ball after 1 second? b) when does the ball hit the ground? c) with what velocity does the ball hit the ...
Monday, April 8, 2013 at 1:21am

calculus
a spherical balloon's radius was measured to be 30 cm with a maximum possible error of 0.2 cm. a) use differentials to estimate the maximum error in the calculated volume. b) what is the relative error?
Monday, April 8, 2013 at 1:18am

calculus
air is being pumped into a spherical balloon at a rate of 8 cm^3/min. Find the rate at which the radius of the balloon is increasing when the balloon's radius is 5 cm.
Monday, April 8, 2013 at 1:17am

Calculus
what is the second derivative of (x^3-6x)^11 that is fully simplex
Monday, April 8, 2013 at 1:14am

Calculus
Find a formula for the fourth degree polynomial p(x) whose graph is symmetric about the y-axis (meaning it has no odd powers of x), and which has a y-intercept of 10, and global maxima at (3,253) and (−3,253).
Sunday, April 7, 2013 at 9:20pm

ap calculus
-find the coordinates for all points of inflection . find all intervals on which function has upward or downward concavity? -i found to be 2/5
Sunday, April 7, 2013 at 8:47pm

calculus
Please help!! *f(x)= x(x+6)^1/2 find two x intercepts. Then show that f'(x)=0 at some point between the 2 x intercepts. *Use mean value theorem for f(x)= x(x^2-3x+1) for interval [1,4] I FOUND DERIAVITIVE WHICH IS 3X^2-6X+1.THEN? *find all critical numbers find all ...
Sunday, April 7, 2013 at 8:47pm

calculus
*The sum of 6 times the length of a shed. It width is 60ft. What are dimensions that gives maximum area for floor of the shed?
Sunday, April 7, 2013 at 8:35pm

Volume/Calculus
Find the volume of the parallelepiped with the given vertices: A(0,0,0) B(4,0,0) C(4,-2,3) D(0,-2,3) E(4,5,3) F(0,5,3) G(0,3,6) H(4,3,6)
Sunday, April 7, 2013 at 6:33pm

Vectors/Calculus
The question asks me to find the area of the triangle with the given vertices. (The area A of the triangle having u and v as adjacent sides is given by A=1/2 ||u x v||.) the vertices are: (0,0,0) (1,2,3) (-3,0,0)
Sunday, April 7, 2013 at 6:12pm

Determine the number of triangles that can be formed with the given information. and if it forms two possible triangles solve all unknown angles and sides Angle A=116 degrees a=10 b=11 but if you add 81.4 (measure of angle B) plus 116 (measure of angle A) you get 197.368 which...
Sunday, April 7, 2013 at 12:05pm

Pre-Calculus
Determine the number of triangles that can be formed with the given information. and if it forms two possible triangles solve all unknown angles and sides Angle A=116 degrees a=10 b=11
Sunday, April 7, 2013 at 11:25am

Pre-Calculus
Determine the number of triangles that can be formed with the given information. a=1, b=5, c=4
Sunday, April 7, 2013 at 1:15am

Pre-Calculus
Determine the number of triangles that can be formed with the given information. a=1, b=5, c=4
Sunday, April 7, 2013 at 1:15am

Pre-Calculus
Determine the number of triangles that can be formed with the given information. a=1, b=5, c=4
Sunday, April 7, 2013 at 1:15am

Pre-Calculus
Determine the number of triangles that can be formed with the given information. a=1, b=5, c=4
Sunday, April 7, 2013 at 1:15am

pre calculus
1.) If h(x)= (fog)(x) and h(x) = 3 over the square root of x+3 , find g(x) if f(x)= 3 over the square root of x+2. my answer is x+1. Am I right? 2.)If f(x)=3x,g(x)=x-3,and h(x)= the square root of x, find (fogox)(X). I really didn't get this will someone please show me how...
Saturday, April 6, 2013 at 5:50pm

Calculus (Gr.12) Math
I am not sure how to do this question I know I have to take the derivative but then I am left w/ to unknowns. If a projectile is shot up hill the distance (range) of the landing point up the hill depends on the initial speed of the projectile,v, the angle of inclination, a, ...
Saturday, April 6, 2013 at 10:39am

ap calculus
a particle moves along the x axis in such a way that its acceleration at time t, t>0 , is given by x(t)= (ln x)^2. at what value of t does the velocity of the particle attain its maximum
Friday, April 5, 2013 at 10:54pm

Calculus
the measurement on one side of a right triangle is found to be 9.5 inches inches, and the angle opposite that side is 27 degrees,45' with a possible error of 15'. (round answers to two decimal places) a) Approximate the percent error in computing the length of the ...
Friday, April 5, 2013 at 2:06pm

Calculus 3
Let G be the region in the first octant that is inside both the cylinders x^2+y^2=1 and y^2+z^2=1. Use a triple integral to evaluate the volume of G.
Friday, April 5, 2013 at 11:02am

Calculus
A table of values for f,g,f′, and g′ are given in the table below: x f(x) g(x) f′(x) g′(x) 5 0 -4 -9 5 0 5 0 -6 9 -4 5 5 9 -5 If h(x)=f(g(x)), find h′(5), If H(x)=g(f(x)), find H′(0)
Thursday, April 4, 2013 at 10:00pm

Calculus
A table of values for f,g,f′, and g′ are given in the table below: x f(x) g(x) f′(x) g′(x) 5 0 -4 -9 5 0 5 0 -6 9 -4 5 5 9 -5 If h(x)=f(g(x)), find h′(5), If H(x)=g(f(x)), find H′(0)
Thursday, April 4, 2013 at 9:59pm

Calculus- Vectors
I've come across this math problem and need help on working it out. Ropes 3 m and 5 m in length are fastened to a holiday decoration that is suspended over a town square. The decoration has a mass of 5 kg. The ropes, fastened at different heights, make angles of and with ...
Thursday, April 4, 2013 at 8:20pm

Calculus
You are in a boat "a" miles from the nearest point on the coast. You are to go to a point Q, which is "b" miles down the coast and 1 mile inland. You can row at 2 miles per hour and walk at 4 miles per hour. If a=3, and b=4, toward what point on the coast ...
Thursday, April 4, 2013 at 4:01pm

Calculus
please help!!!!Apply newtons method to approximate the x-values of the indicated points of intersection of the 2 graphs. continue the process until 2 successive approximations differ by less than 0.001. (Hint: Let h(x)=f(x)-g(x)) f(x)=x^6 g(x)=cos(x) x= ??? (smaller value) x...
Thursday, April 4, 2013 at 3:50pm

Calculus
the measurement on one side of a right triangle is found to be 9.5 inches inches, and the angle opposite that side is 27 degrees,45' with a possible error of 15'. (round answers to two decimal places) a) Approximate the percent error in computing the length of the ...
Thursday, April 4, 2013 at 1:47pm

Calculus
If the derivative can be thought of as a marginal revenue function for x units (in hundreds of items) sold, and the revenue for a company is given by the function. R(x) = 30x^3 - 120x^2 + 500 for 0 _< x _< 100, a. Sketch the graphs of the functions R(x) and R'(x) . b...
Thursday, April 4, 2013 at 12:30pm

Calculus
If the derivative can be thought of as a marginal revenue function for x units (in hundreds of items) sold, and the revenue for a company is given by the function. R(x) = 30x^3 - 120x^2 + 500 for 0 _< x _< 100, a. Sketch the graphs of the functions R(x) and R'(x) . b...
Wednesday, April 3, 2013 at 5:54pm

Calculus
If the derivative can be thought of as a marginal revenue function for x units (in hundreds of items) sold, and the revenue for a company is given by the function. R(x) = 30x^3 - 120x^2 + 500 f or 0 ¡Ü x ¡Ü 100, a. Sketch the graphs of the functions R(x) ...
Wednesday, April 3, 2013 at 5:51pm

Calculus
If the derivative can be thought of as a marginal revenue function for x units (in hundreds of items) sold, and the revenue for a company is given by the function. R(x) = 30x^3 ¨C 120x^2 + 500 f or 0 ¡Ü x ¡Ü 100, a. Sketch the graphs of the functions ...
Wednesday, April 3, 2013 at 5:48pm

Calculus
If the derivative can be thought of as a marginal revenue function for x units (in hundreds of items) sold, and the revenue for a company is given by the function. R(x) = 30x^3 ¨C 120x^2 + 500 f or 0 ¡Ü x ¡Ü 100, a. Sketch the graphs of the functions ...
Wednesday, April 3, 2013 at 5:47pm

calculus
Use a graph of f(x) = 3 e^{-8 x^2} to estimate the x-values of any critical points and inflection points of f(x). critical points x= Inflection points x= Next, use derivatives to find the x-values of any critical points and inflection points exactly. critical points x= ...
Wednesday, April 3, 2013 at 4:43pm

An object at rest begins moving horizontally on the x-axis, starting at position x(t) = 0 feet at time t = 0 seconds.Suppose, after exactly 2 seconds we measure the position of the object to be 3 feet to the right of the origin AND measure the object to be moving to the ...
Wednesday, April 3, 2013 at 1:11pm

calculus optimization problem
by cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box may be made. if the cardboard is 30 inches long and 14 inches wide find the dimensions of the box that will yield the maximum volume.
Wednesday, April 3, 2013 at 3:22am

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